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Homework Help: Time Depenent Acceleration

  1. Nov 5, 2007 #1
    1. The problem statement, all variables and given/known data

    The acceleration of a bus is given by , a(t) = xa where x = 1.24 m/s3 is a constant. If the bus's velocity at time t1 = 1.15s is 4.94 m/s, what is its velocity at time t2 = 2.10s ?

    2. Relevant equations

    I know I have to integrate somehow, but the only equation I can think of to apply is
    v(t) = v (initial) + integral of [a dt] with boundaries t and 0.

    3. The attempt at a solution

    I tried using the basic equations of motion, but they all assume that acceleration is constant... then I tried the above equation but I'm having trouble finding the intial velocity. Please help!!!
  2. jcsd
  3. Nov 5, 2007 #2


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    Homework Helper

    The value of x = 1.24m/s^3 Therefore 'a' must be time t. Integrate the function wrt. time. Using t1 and the velocity find the constant of integration. Now put t2 = 2.1s and find the velocity.
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